Monday, 4 July 2011

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-873
Full Name: Claude Bayeh
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Saint Joseph Street, Dora
Country: LEBANON
Tel: 00961 70 251690
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E-mail address: claude_bayeh_cbegrdi@hotmail.com
Other E-mails: c.bayeh@hotmail.com
Title of the Paper: Introduction to the Angular Functions in Euclidian 2D-space with application in mathematics
Authors as they appear in the Paper: Claude Bayeh
Email addresses of all the authors: claude_bayeh_cbegrdi@hotmail.com
Number of paper pages: 13
Abstract: The Angular functions are new mathematical functions introduced by the author, that produce a rectangular signal, in which period is function of angles and not of time as the previous functions. Similar to trigonometric functions, the angular functions have the same properties as the precedent, but the difference is that a rectangular signal is obtained instead of a sinusoidal signal, and moreover, one can change the width of each positive and negative alternate in the same period. This is not the case of any other trigonometric function. In other hand, one can change the frequency, the amplitude and the width of any period of the signal at any position by using the general form of the angular function. In this paper, an original study is introduced. Thus, the definition of the original part is presented. The angular functions are also defined. These functions are very important in technical subjects. They will be widely used in mathematics and in engineering domai!
ns, especially in power electronics, signal theory, propagation of signals and many other topics. Moreover, the Angular functions are the basis of the Elliptical trigonometry and the rectangular trigonometry in which they are new domains introduced into mathematics by the author.
Keywords: Mathematics, Geometry, Trigonometry, Pulse width modulation, Signal theory, Power electronics.
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